Answer:
the answer is D
Step-by-step explanation:
A. √123 = 11.09
11.09-11 = 0.09
B. √115 = 10.72
11-10.72 = 0.28
C. √118 = 10.86
11-10.86 = 0.14
D. √120 = 10.95
11-10.95 = 0.05 ( the smallest difference )
The proportions of blood types O, A, B, and AB in the general population of a particular country are known to be in the ratio 49:38:9:4, respectively. A research team, investigating a small isolated community in the country, obtained the following frequencies (i.e. observed number of cases) of blood type.
Blood type O A B AB
Frequency 87 59 20 4
Test the hypothesis that the proportions in this community do not differ significantly from those in the general population.
Answer:
The proportions differ significantly from those in the general population.
Step-by-step explanation:
We state our null and alternative hypotheses as
H0: p1= 49/100, p2= 38/100, p3= 9/100 and p4= 4/100 for a multinomial distribution involving four categories and n= 170
against
Ha: pi≠ pi0 for at least one value of i= 1,2,3,4
The significance level is set at ∝= 0.05
The test statistic under H0 is
χ² = ∑ (Oi- ei)²/ei
which has approximate chi square distribution with 3d.f (n-1)
Computations: Under H0 the expected frequencies are
np10= Blood type O = 170 * 49/100= 83.3
np20 = Blood type A = 170 * 38/100= 64.6
np30 = Blood type B = 170 * 20/100= 11.76
np40 = Blood type AB = 170 * 4/100= 2.35
The value of χ² is computed as follows
Cell Observed Estimated (Oi-ei) (Oi-ei)² (Oi-ei)²/ei
Frequency Frequency
Oi ei
1 87 83.3 3.7 13.69 0.157
2 59 64.6 -5.6 31.36 0.531
3 20 34 -14 196 9.8
4 4 6.8 -2.8 7.84 1.96
∑ 170 188.7 χ²= 12.43
The critical region is χ²≥ χ²(0.05,3) = 7.82 for alpha = 0.05 and
χ²≥ χ²(0.01,3) = 11.34 for alpha = 0.01
As the calculated value lies in the critical region for both value of alpha we reject our null hypothesis and accept our alternate hypothesis. The proportions differ significantly from those in the general population.
Paulina has a suitcase full of clothes that weighs 4
4
7pounds. Rebecca has a suitcase full of clothes that weighs
7
8of Paulina's suitcase. How many pounds does Rebecca's suitcase weigh?
Answer:
4 pounds
Step-by-step explanation:
Paulina has a suitcase full of clothes that weighs 4 4/7pounds. Rebecca has a suitcase full of clothes that weighs
7/8 of Paulina's suitcase. How many pounds does Rebecca's suitcase weigh?
Weight of Paulina's suitcase = 4 4/7 pounds = 32/7 pounds
Weight of Rebecca's suitcase = 7/8 of Paulina's suitcase
Hence, the weight of Rebecca's suitcase in pounds = 7/8 of 32/7 pounds
= 7/8 × 32/7
= 4 pounds
Therefore, Rebecca's suitcase weighs 4 pounds.
Solve the following problems:
Find x , y PLEASE HELP
Answer:
x=5/4, y=7/4
Step-by-step explanation:
This is a similar triangles problem.
The first triangle (the smaller one) has the lengths 5, 8 and 7.
The second triangle (the lager one) has the lengths 5+x, 10, and 7+y
Let's first solve for x
In any similar triangles problem, you can make two ratios (all the ratios of the sides are the same)
since we don't know the measures for x and y first, we can use the ratio of the parallel lines (the bases) as the first ratio (8/10)
For the second ratio, it's smaller/bigger, so it'll be 5/(x+5)
here's the proportion
5/(x+5)=8/10
But before we multiply, we can simplify 8/10 to 4/5
so
5/(x+5)=4/5
Cross multiply
25=4x+20
5=4x
5/4=x
For y, we can do a similar process
We can use 8/10 or 4/5 again
and the ratio of the sides for y will be 7/(y+7)
7/(y+7)=4/5
35=4y+28
7=4y
7/4=y
Hope this helps!
Please helppppppopppp
Answer:
a..
Step-by-step explanation:
find the answer for 10 + 10
Answer:20
Step-by-step explanation:
the diagonal of a square is 3√2 then find its length
hope that this answer helps you.
) Buyers are charged a shipping fee of $4.75 for each scarf order.
Which expression can you use to find the total price of a scarf order?
Answer:
huh can you put the whole question?
Step-by-step explanation:
Put all the answers
Step-by-step explanation:
HELP WHATS THE ANSWER
Answer:
The answer is 0, hope this helps
Which of the following is not a solution of the equation y=3x-4?
A. 2,2
B. 0,-4
C. 4,8
D. -1,-1
what is the answer to r - 4.5 < 11
1
A. (f = g)(x) = 2 - 4
.
true or false
Answer:
=-2
Step-by-step explanation:
x=-(4-2)
Answer:
false
hope this helps
Brian is n years old. How old will he be in 47 years?
Algebraic expression
Answer:
n + 47
Step-by-step explanation:
Let n = Brian's age now.
In 47 years, he'll be 47 years older than he is now.
In 47 years, Brian will by n + 47 years old.
Answer: n + 47
The age of Brian after 47 years will be n + 47.
What is a linear equation?A relationship between two or more parameters that, when shown on a graph, produces a linear model. The degree of the variable will be one.
The linear equation is given as,
y = mx + c
Where m is the slope of the line and c is the y-intercept of the line.
Brian is n years old.
Then the age of Brian after 47 years will be given as,
⇒ n + 47
The age of Brian after 47 years will be n + 47.
More about the linear equation link is given below.
https://brainly.com/question/11897796
#SPJ2
A skirt was originally priced $32. It is on sale for $24. What percent is the discount
Answer:
25% off
Step-by-step explanation:
$32 is 100%. 8 dollars was taken away, and since 8 is 1/4 of 32, we can divide 100% by 4 to get 25%. 25% is $8
Answer:
25%
Step-by-step explanation:
24/32=0.75
100-0.75= 0.25
So 25% off.
Hope that helped! (ノ◕ヮ◕)ノ*:・゚✧
( ゚д゚)つ Bye
Allison can work up to 35 hours per week. if she works 5 1/2 hours Monday, 6 hours on Tuesday, and 7 3/4 hours on Wednesday, how many more hours can she work during the week
Answer:
15 3/4
Step-by-step explanation:
this is simple addition and subtraction
which triangle could be drawn as is it described
Answer:
you didnt add the attachment
The gates to the zoo open at 8 a.m. and 60 people enter. The number of visitors to the zoo triples every hour until 1 p.m.
How many visitors are at the zoo at 1 p.m.? Write the answer in exponential notation.
Answer:240 visitors are at the zoo
Step-by-step explanation:
Answer:
54
Step-by-step explanation:
We can solve this problem by creating a chart from 9am to 12pm. Each hour we must "triple," meaning "multiply by 3."
9am-10am is 6 visitors
10am-11am is 6*3=18 visitors
11am-12pm is 18*3=54 visitors
Hewo plz help can u answer
PUT A REAL ANSWER!!!!!!!!!!
5 pts.
175+8w≥425
Answer:
w≥31.25
Step-by-step explanation:
175+8w≥425
-175 -175
8w≥250
/8 /8
w≥31.25
Answer:
X is greater than or equal to 125/4
Step-by-step explanation:
Subtract 175 from both sides which will turn 425 into 250
Divide 8 from 8x to the other side to turn 250 into 125/4
In the end, you get X is greater or equal to 125/4
Factor the polynomial expression 16y4 − 256x12.
Step-by-step explanation:
Using Difference of Squares,
16y⁴ - 256x¹²
= 16(y⁴ - 16x¹²)
= 16(y² + 4x⁶)(y² - 4x⁶)
= 16(y² + 4x⁶)(y + 2x³)(y - 2x³).
Step-by-step explanation:
16y4-256×12=16.(y4-16×12)Evaluate the function.
g(x)=10x+3
g(19.6)=
Answer:
199
Step-by-step explanation:
plug in x=19.6, then
g(19.6) = 10 * 19.6 +3= 199
What is the solution to the following system of equations?
3x - 6y = -12
x - 2y = -8
(1) Use the substitution method to justify that the given system of equations has no solution.
(2) What do you know about the two lines in this system of equations?
Answer:
1.) x=2y-4
2.) x=2y-4 :)
Answer:
[tex]3x - 6y = - 12 ..........i)\\ x - 2y = - 8............ii) \\ x = 2y - 8 \\ Substituting \: the \: value \: of \: x \:in \: equation \: i) \: we \: get \\ 3(2y - 8) - 6y = - 12 \\ 6y - 24 - 6y = - 12 \\ Here \: we \: can \: see \:that\: the \: value \: of \: y \: cannot \: be \: found \\ Equation \: is \: in \: form \: a \frac{}{1} x + b \frac{}{1} y + c \frac{}{1}= 0\:and \\ a \frac{}{2} x + b \frac{}{2} y + c \frac{}{2} = 0 \\ where, \: \: \frac{a \frac{}{1} }{a \frac{}{2} } = \frac{b \frac{}{1} }{b \frac{}{2} } \\ Therefore \: lines \: are \: parallel \: to \: each \: other \\ Lines \: have \: no \: solution.[/tex]
Express the percent as a decimal 6.4%
Answer:
0.064
Step-by-step explanation:
Hope this helps!
Ruben is touring New York City with his family. They want to visit the Empire State Building, Central Park, and Times Square before their dinner reservations at 8:00 P.M. They want to spend 1 hour and 30 minutes at the Empire State Building, 3 hours in Central Park, and 45 minutes in Times Square. What is the latest time Ruben's family can start their tour in order to make it to dinner on time?
Include A.M. or P.M. in your answer Please help ASAP!!!
Answer: 2:45 pm
Step-by-step explanation:
Find the length of the tour;
90 minutes at Empire State
180 minutes in Central Park
45 minutes in Times Square
= 90 + 180 + 45
= 315 minutes
= 5.25 hours
= 5 hours 15 minutes
Dinner Reservation is at 8.
Latest time they can start is;
= 8 - 5.25 hours
= 2.75
= 2 hours 45 minutes
= 2:45 pm
A school club wants to collect at least 500 canned goods for a school food drive. The club has already collected 30 canned goods.
Part A
If 10 club members each collect the same number of canned goods, which inequality represents the minimum number of canned goods, n, each
club member must collect for the club to meet the goal?
10n +30<500
10n + 30 500
30n + 10 < 500
30n + 10 > 500
The diagram represents the enlargement of a rectangle by using a scale factor of 6.
A rectangle has a length of 30 feet and width of 6 feet.
What are the dimensions of the original rectangle?
Answer:
lenght of 5 feet and width of 1 feet
Step-by-step explanation:
30/6=5
6/6=1
Answer:
lenght of 5 feet and width of 1 feet
Step-by-step explanation:
30/6=5
6/6=1
Step-by-step explanation: like what that peson said! way to go and good luck on your test!
Shirabi spent $208 on a sewing machine to make purses. She spends a total of $10 on thread, fabric, and accessories for each purse and plans to charge $36 for each purse. The equation represents her break-even point, when x represents the number of purses sold.
208 + 10x = 36x
How many purses must she sell in order to break even?
A. 5
B. 6
C. 7
D. 8
Answer:
The correct answer is: Option D: 8
Step-by-step explanation:
Given that she spent $208 on the sewing machines
And
the equation for profits to break even is:
208 + 10x = 36x
In order to find the number of purses to break even, we have to find the value of x
So,
[tex]208+10x=36x[/tex]
Subtracting 10x from both sides
[tex]208+10x-10x = 36x-10x\\208 = 26x[/tex]
Dividing both sides by 26
[tex]\frac{208}{26} = \frac{26x}{26}\\x = 8[/tex]
The number of purses is 8
Hence,
The correct answer is: Option D: 8
Answer:
D is correct.
Step-by-step explanation:
Help plz 13. Mildred is flying a kite on a 30 m string. The angle of elevation of the kite measures 40 degrees,
and Mildred's hand is 2 m above the ground. About how high is the kite off the ground?
a. 21.3 m
c. 19.3 m
b. 25 m
d. 23 m
Answer: 21.3m
Step-by-step explanation:
The height of the kite of the ground would be calculated as:
We have to calculate the question using a right angled triangle that has angle ACB as 90° while angle CAB will be 40°.
Therefore, the height of the kite would be:
= 30 sin 40 + 2
= 30 (0.6428 ) + 2
= 19.284 + 2
= 21.284 m
= 21.3 m
In August, the Simons' water bill was $48. In September, it was $50. Calculate the percent increase and round to the nearest percent?
41%
400%
40%
4%
Answer:foooo
Step-by-step explanation:
How does the value of a in the function affect its graph when compared to the graph of the quadratic parent function?
h(x) = -0.19x2
In what ways is the graph of h(x) different from the graph of the parent function? Select all that apply.
A. The graph of h(x) opens upward.
B. The graph of h(x) opens downward.
C.The graph of h(x) is narrower.
D. The graph of h(x) is wider.
9514 1404 393
Answer:
B. The graph of h(x) opens downward.
D. The graph of h(x) is wider.
Step-by-step explanation:
The negative leading coefficient causes the graph to be reflected across the x-axis, making it open downward.
The leading coefficient magnitude less than 1 compresses the graph vertically, giving it a wider appearance.
What is the value of y if f||n
?????
Answer:
y = 148°
Step-by-step explanation:
4x - 18 = 2x + 12 (alternate exterior angles are congruent)
Collect like terms
4x - 18 = 2x + 12
4x - 2x = 18 + 12
2x = 20
Divide both sides by 2
x = 10
y = 180 - (2x + 12) (linear pair theorem)
Plug in the value of x
y = 180 - (2(10) + 12)
y = 180 - (20 + 12)
y = 148°
human activities have drastic effects on biomes match the human activities with the biomes they primarily